What is (1.2*x10^7)(5*x10^{-6}) ?

The solution to (1.2*x10^7)(5*x10^{-6}) is 60x^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1.2x10^7)(5x10^{-6})

simplify

(1.2 \cdot x 1 0^{7}) (5 \cdot x 1 0^{- 6})

60 x^{2}

Solution steps

(1.2 x \cdot 1 0^{7}) (5 x \cdot 1 0^{- 6})

Simplify

5 x \cdot 1 0^{- 6} : \frac{x}{200000}

= 1.2 x \cdot 1 0^{7} \cdot \frac{x}{200000}

1.2 = \frac{6}{5}

= \frac{6}{5} x \cdot 1 0^{7} \cdot \frac{x}{200000}

Apply the fraction rule:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{6 x \cdot 1 0 ^{7} x}{5 \cdot 200000}

Multiply the numbers:

5 \cdot 200000 = 1000000

= \frac{6 x \cdot 1 0 ^{7} x}{1000000}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{6 x ^{2} \cdot 1 0 ^{7}}{1000000}

Factor the number:

6 = 2 \cdot 3

= \frac{2 \cdot 3 x ^{2} \cdot 1 0 ^{7}}{1000000}

Factor the number:

1000000 = 2 \cdot 500000

= \frac{2 \cdot 3 x ^{2} \cdot 1 0 ^{7}}{2 \cdot 500000}

Cancel the common factor:

2

= \frac{3 x ^{2} \cdot 1 0 ^{7}}{500000}

Factor

500000 : 1 0^{5} \cdot 5

= \frac{3 x ^{2} \cdot 1 0 ^{7}}{1 0 ^{5} \cdot 5}

\frac{1 0 ^{7}}{1 0 ^{5}} = 1 0^{2}

= \frac{3 x ^{2} \cdot 1 0 ^{2}}{5}

Factor

1 0^{2} : 5^{2} \cdot 2^{2}

= \frac{3 x ^{2} \cdot 5 ^{2} \cdot 2 ^{2}}{5}

\frac{5 ^{2}}{5} = 5

= 3 x^{2} \cdot 5 \cdot 2^{2}

Multiply the numbers:

3 \cdot 5 = 15

= 15 x^{2} \cdot 2^{2}

= 2^{2} \cdot 15 x^{2}

2^{2} = 4

= 4 \cdot 15 x^{2}

Multiply the numbers:

4 \cdot 15 = 60

= 60 x^{2}

5.6 \cdot 1 0^{11} (1.6 \cdot 1 0^{(- 19)})

2 e^{- \frac{1}{2} t} sin (4 π t)

- 0.35 (6. 2^{- 2})

(22) \cdot 22

\frac{x ^{\frac{3}{5}}}{( 1 + x ) ^{\frac{3}{5}}}

What is (1.2*x10^7)(5*x10^{-6}) ?
The solution to (1.2*x10^7)(5*x10^{-6}) is 60x^2